eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2019-08-10 7 4 113 116 10.12691/tjant-7-4-3 TJANT2019743 article Souhila Boughaba 1 Ali Boussayoud aboussayoud@yahoo.fr 1 Khadidja Boubellouta 1 LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria In this paper, we introduce a operator in order to derive a new generating functions of modified k- Pell numbers, Gaussian modified Pell numbers. By making use of the operator defined in this paper, we give some new generating functions for Bivariate Complex Fibonacci and Lucas Polynomials, modified Pell Polynomials and Gaussian modified Pell Polynomials. http://pubs.sciepub.com/tjant/7/4/3/tjant-7-4-3.pdf Symmetric functions Generating functions modified k- Pell numbers Bivariate Complex Fibonacci Polynomials Bivariate Complex Lucas Polynomials